Internal combustion engine

A first combustion where the amount of the EGR gas supplied into the combustion chamber 5 is larger than the amount of EGR gas where the amount of production of soot peaks and almost no soot is produced and a second combustion where the amount of EGR gas supplied into the combustion chamber 5 is smaller than the amount of EGR gas where the amount of production of soot peaks are selectively switched and, when the first combustion is performed, not only a main injection which is performed near a compression top dead center, but also a further injection which is performed at a different timing from a timing of the main injection is performed thereby to form a peroxide which is used to compensate for the lack of oxygen concentration that is due to the first combustion.